Tails of the Density of States in a Random Magnetic Field

TL;DR

This paper investigates the extreme behaviors of the density of states for fermions in a random magnetic field with non-zero mean, revealing Gaussian tails near Landau level centers and non-analytic features at spectrum bounds.

Contribution

It applies the Optimum Fluctuation Method to characterize the tails of the density of states, providing new insights into their shape and energy dependence in such disordered systems.

Findings

Density of states exhibits Gaussian tails near Landau level centers.

Energy dependence of the density of states is non-analytic near the spectrum lower bound.

The study advances understanding of spectral properties in disordered magnetic systems.

Abstract

We study the tails of the density of states of fermions subject to a random magnetic field with non-zero mean with the Optimum Fluctuation Method (OFM). Closer to the centres of the Landau levels, the density of states is found to be Gaussian, whereas the energy dependence is non-analytic near the lower bound of the spectrum.